Grilled Ratatouille

Name: Grilled Ratatouille
Ingredients: 2 medium zucchini, halved lengthwise; 2 medium yellow summer squash, halved lengthwise; 2 Japanese eggplants, halved lengthwise; 2 medium red bell peppers, stemmed, seeded and quartered; 2 medium yellow bell peppers, stemmed, seeded and quartered; 2 small red onions, quartered; 1 pint (about 20) cherry tomatoes; ½ cup plus 2 Tbsp. olive oil; Kosher salt and freshly ground pepper to taste; 4 garlic cloves, finely chopped; 2 Tbsp. chopped oregano; 2 Tbsp. chopped basil; ¼ cup chopped flat-leaf parsley; ½ cup coarsely grated hard Italian cheese (such as Romano, Pecorino or Parmesan)